Answer:
Adrian's songs played on 9 commercials and 5 movies.
Step-by-step explanation:
Let x denotes number of commercials and y denotes number of movies.
Total number of commercials and movies = 14
So,
[tex]x+y=14\\x=14-y\,\,\,\,...(i)[/tex]
Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie
Total amount earned = $1010
[tex]40x+130y=1010\,\,\,...(ii)[/tex]
Put [tex]x=14-y[/tex] in (ii)
[tex]40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5[/tex]
Put [tex]y=5[/tex] in [tex]x=14-y[/tex]
[tex]x=14-5=9[/tex]
Therefore, Adrian's songs played on 9 commercials and 5 movies.
